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Gearing Up for the Games:With less than a year to go,Senegal is stepping up preparations for the Dakar 2026 Youth Olympic Games with the support from China
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作者 ALY DIOUF 《ChinAfrica》 2026年第2期38-39,共2页
In a first for the African continent,Senegal will host the Dakar 2026 Youth Olympic Games(YOG)from 31 October to 13 November.The Dakar 2026 YOG carry a strong symbolic ambition,embodied by their motto“Africa welcomes... In a first for the African continent,Senegal will host the Dakar 2026 Youth Olympic Games(YOG)from 31 October to 13 November.The Dakar 2026 YOG carry a strong symbolic ambition,embodied by their motto“Africa welcomes,Dakar celebrates.”Host Senegal sees the event as a catalyst for its influence,the modernisation of its infrastructure,and the mobilisation of its youth. 展开更多
关键词 infrastructure modernization youth mobilization symbolic ambition modernisation its infrastructureand youth olympic games yog dakar youth olympic games senegal
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Game-theoretic maneuvering strategies for orbital inspection of non-cooperative spacecraft in cislunar space
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作者 Hongyu HAN Zhaohui DANG 《Chinese Journal of Aeronautics》 2026年第1期385-397,共13页
The problem of maneuvering for a servicing spacecraft(inspector)to inspect a noncooperative spacecraft(evader)in cislunar space is investigated in this paper.The evader,which may be a malfunctioning or uncontrolled sa... The problem of maneuvering for a servicing spacecraft(inspector)to inspect a noncooperative spacecraft(evader)in cislunar space is investigated in this paper.The evader,which may be a malfunctioning or uncontrolled satellite,introduces uncertainties due to its potential maneuvering capabilities.To address this challenge,the scenario is modeled as a special orbital game,incorporating the unique complexities of the cislunar environment.A variable-duration,turn-based inspection and anti-inspection game model is designed.The model defines both players'rules,constraints,and victory conditions,providing a framework for non-cooperative inspection.Strategies for both players are developed and validated based on their dynamical properties.The inspector's strategy integrates two-body Lambert transfers with shooting methods,while the evader's strategy aims to maximize the inspector's fuel consumption.Simulation results show that the evader's optimal strategy involves deliberate fluctuations in its lunar periapsis altitude,with the inspector's requiredΔV up to eight times greater than the evader's.The impact of game constraints is evaluated,and the effectiveness of deploying the inspector in low lunar orbit is compared with the inspector at the Earth-Moon Lagrange point L1.The strengths and weaknesses of both are shown.These findings provide valuable insights for future orbital servicing and orbital games. 展开更多
关键词 Cislunar Impulsive maneuver Non-cooperative target Orbital game Orbital transfer
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A Real-Time Task Scheduling Algorithm Based on Bilateral Matching Games in a Distributed Computing Environment
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作者 LI Shuo FANG Zuying +1 位作者 ZHOU Guoqiang DAI Guilan 《Wuhan University Journal of Natural Sciences》 2026年第1期69-78,共10页
In the era of the Internet of Things,distributed computing alleviates the problem of insufficient terminal computing power by integrating idle resources of heterogeneous devices.However,the imbalance between task exec... In the era of the Internet of Things,distributed computing alleviates the problem of insufficient terminal computing power by integrating idle resources of heterogeneous devices.However,the imbalance between task execution delay and node energy consumption,and the scheduling and adaptation challenges brought about by device heterogeneity,urgently need to be addressed.To tackle this problem,this paper constructs a multi-objective real-time task scheduling model that considers task real-time performance,execution delay,system energy consumption,and node interests.The model aims to minimize the delay upper bound and total energy consumption while maximizing system satisfaction.A real-time task scheduling algorithm based on bilateral matching game is proposed.By designing a bidirectional preference mechanism between tasks and computing nodes,combined with a multi-round stable matching strategy,accurate matching between tasks and nodes is achieved.Simulation results show that compared with the baseline scheme,the proposed algorithm significantly reduces the total execution cost,effectively balances the task execution delay and the energy consumption of compute nodes,and takes into account the interests of each network compute node. 展开更多
关键词 dispersed computing real-time task task scheduling bilateral matching game
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Research on cooperative operation optimization of Nash-Stackelberg game in multiple virtual power plants under multiple uncertainties
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作者 Lei Dong Shuaibo Zhang +4 位作者 Yang Li Zibo Wang Binwen Zhang Hong Zhu Wenlu Ji 《Global Energy Interconnection》 2026年第1期186-207,共22页
This paper suggests a way to improve teamwork and reduce uncertainties in operations by using a game theory approach involving multiple virtual power plants(VPP).A generalized credibility-based fuzzy chance constraint... This paper suggests a way to improve teamwork and reduce uncertainties in operations by using a game theory approach involving multiple virtual power plants(VPP).A generalized credibility-based fuzzy chance constraint programming approach is adopted to address uncertainties stemming from renewable generation and load demand within individual VPPs,while robust optimization techniques manage electricity and thermal price volatilities.Building upon this foundation,a hierarchical Nash-Stackelberg game model is established across multiple VPPs.Within each VPP,a Stackelberg game resolves the strategic interaction between the operator and photovoltaic prosumers(PVP).Among VPPs,a cooperative Nash bargaining model coordinates alliance formation.The problem is decomposed into two subproblems:maximizing coalitional benefits,and allocating cooperative surpluses via payment bargaining,solved distributively using the alternating direction method of multipliers(ADMM).Case studies demonstrate that the proposed strategy significantly enhances the economic efficiency and uncertainty resilience of multi-VPP alliances. 展开更多
关键词 Virtual power plant Fuzzy chance constraint Generalized credibility Robust optimization Nash-Stackelberg game Nash Bargaining
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Research on Automated Game QA Reporting Based on Natural Language Captions
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作者 Jun Myeong Kim Jang Young Jeong +1 位作者 Shin Jin Kang Beomjoo Seo 《Computers, Materials & Continua》 2026年第2期1690-1705,共16页
GameQualityAssurance(QA)currently relies heavily onmanual testing,a process that is both costly and time-consuming.Traditional script-and log-based automation tools are limited in their ability to detect unpredictable... GameQualityAssurance(QA)currently relies heavily onmanual testing,a process that is both costly and time-consuming.Traditional script-and log-based automation tools are limited in their ability to detect unpredictable visual bugs,especially those that are context-dependent or graphical in nature.As a result,many issues go unnoticed during manual QA,which reduces overall game quality,degrades the user experience,and creates inefficiencies throughout the development cycle.This study proposes two approaches to address these challenges.The first leverages a Large Language Model(LLM)to directly analyze gameplay videos,detect visual bugs,and automatically generate QA reports in natural language.The second approach introduces a pipeline method:first generating textual descriptions of visual bugs in game videos using the ClipCap model,then using those descriptions as input for the LLM to synthesize QA reports.Through these two multi-faceted approaches,this study evaluates the feasibility of automated game QA systems.To implement this system,we constructed a visual bug database derived from real-world game cases and fine-tuned the ClipCap model for the game video domain.Our proposed approach aims to enhance both efficiency and quality in game development by reducing the burden of manual QA while improving the accuracy of visual bug detection and ensuring consistent,reliable report generation. 展开更多
关键词 game quality assurance vision-language model automated report system
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Attack-Resilient Distributed Nash Equilibrium Seeking for Networked Games Under Unbounded FDI Attacks:Theory and Experiment
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作者 Zhi Feng Zhexin Shi +2 位作者 Xiwang Dong Guoqiang Hu Jinhu Lv 《IEEE/CAA Journal of Automatica Sinica》 2026年第1期98-109,共12页
An attack-resilient distributed Nash equilibrium(NE) seeking problem is addressed for noncooperative games of networked systems under malicious cyber-attacks,i.e.,false data injection(FDI) attacks.Different from many ... An attack-resilient distributed Nash equilibrium(NE) seeking problem is addressed for noncooperative games of networked systems under malicious cyber-attacks,i.e.,false data injection(FDI) attacks.Different from many existing distributed NE seeking works,it is practical and challenging to get resilient adaptively distributed NE seeking under unknown and unbounded FDI attacks.An attack-resilient NE seeking algorithm that is distributed(i.e.,independent of global information on the graph's algebraic connectivity,Lipschitz and monotone constants of pseudo-gradients,or number of players),is presented by means of incorporating the consensus-based gradient play with a distributed attack identifier so as to achieve simultaneous NE seeking and attack identification asymptotically.Another key characteristic is that FDI attacks are allowed to be unknown and unbounded.By exploiting nonsmooth analysis and stability theory,the global asymptotic convergence of the developed algorithm to the NE is ensured.Moreover,we extend this design to further consider the attack-resilient NE seeking of double-integrator players.Lastly,numerical simulation and practical experiment results are presented to validate the developed algorithms' effectiveness. 展开更多
关键词 Adaptively distributed NE seeking attack-resilient mechanism noncooperative game unknown FDI attack
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Vaccination-transmission coupled mechanism based on parallel minority game
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作者 Chenli Xue Xiaofeng Luo Gui-Quan Sun 《Chinese Physics B》 2026年第2期685-702,共18页
Vaccination is a key strategy to curb the spread of epidemics.Heterologous vaccination,unlike homologous vaccination which acts on a single target and forms a single immune barrier,covers multiple targets for broader ... Vaccination is a key strategy to curb the spread of epidemics.Heterologous vaccination,unlike homologous vaccination which acts on a single target and forms a single immune barrier,covers multiple targets for broader protection.Yet,heterologous vaccination involves a complex decision process that conventional game-theoretic approaches,such as classical,evolutionary,and minority games cannot adequately capture.The parallel minority game(PMG)can handle bounded-rational,multi-choice decisions,but its application in vaccine research remains rare.In this study,we propose a vaccination-transmission coupled dynamic mechanism based on the parallel minority game and simulate it on a two-dimensional lattice.Using actual observational data and a mean-field mathematical model,we verify the effectiveness of this mechanism in simulating realistic vaccination behavior and transmission dynamics.We further analyze the impact of key parameters,such as vaccine efficacy differences and the proportion of individuals eligible for vaccine switching,on containment effectiveness.Our results demonstrate that heterologous vaccination surpasses homologous vaccination in containment effectiveness,particularly when vaccine efficacy varies significantly.This work provides a novel framework and empirical evidence for understanding individual decision-making and population-wide immunity formation in multi-vaccine settings. 展开更多
关键词 infectious disease modeling basic reproduction number parallel minority game heterologous vaccination
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Research on game strategies of participants in highway prevention and noise pollution control
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作者 HE Yongming TONG Xin +2 位作者 RAN Bin LIANG Chen WAN Yiming 《Journal of Southeast University(English Edition)》 2026年第1期80-91,共12页
To uncover the decision-making mechanisms and evolutionary dynamics of multiple stakeholders in highway noise pollution control,a three-party evolutionary game model involving the government,operators,and the public i... To uncover the decision-making mechanisms and evolutionary dynamics of multiple stakeholders in highway noise pollution control,a three-party evolutionary game model involving the government,operators,and the public is constructed.The operation period is divided into different stages for differentiated analysis.A simulation analysis was performed on the Lituo sinking section of the Beijing-Hong Kong-Macao Highway to assess the impact of variations in critical elements on the system.The results indicate that the Lituo sinking section of the Beijing-Hong Kong-Macao Highway is currently in its early stage of development,with the corresponding strategies being active regulation,excessive emissions,and supervision.When the cost of the government’s active regulation decreases from 1×10^(5) to 5×10^(4) yuan,the system converges more rapidly toward the active regulation strategy.When the cost of the operator’s excessive emissions increases from 14.08×10^(6) to 20.00×10^(6) yuan,the system drives the operator toward the standardized emission strategy.In addition,when the cost of public supervision decreases from 15×10^(4) to 5×10^(4) yuan and the compensation paid by operators to the public increases from 1.288×10^(6) to 2.576×10^(6) yuan,the system converges more quickly toward the supervision strategy.The cost of the operator’s excessive emissions serves as the core decision variable for achieving the ideal equilibrium in the three-party game involving government active regulation,operator standardized emissions,and public supervision. 展开更多
关键词 noise prevention and control operational period evolutionary game Beijing-Hong Kong-Macao Highway Lituo sinking section
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Indefinite Linear-Quadratic Mean-Field Game of Regime-Switching System
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作者 Tian Chen Kai Du Zhen Wu 《IEEE/CAA Journal of Automatica Sinica》 2026年第1期83-97,共15页
This paper studies an indefinite mean-field game with Markov jump parameters,where all agents'diffusion terms depend on control variables and both state and control average terms(x.^((N)),u.^((N)))are considered.O... This paper studies an indefinite mean-field game with Markov jump parameters,where all agents'diffusion terms depend on control variables and both state and control average terms(x.^((N)),u.^((N)))are considered.One notable aspect is the relaxation of the assumption regarding the positivity or non-negativity of weight matrices within costs,allowing for zero or even negative values.By virtue of mean-field methods and decomposition techniques,we have derived decentralized strategies presented by Hamiltonian systems and a new type of consistency condition system.These systems consist of fully coupled regime-switching forward-backward stochastic differential equations that do not conform to the Monotonicity condition.The well-posedness of these strategies is established by employing a relaxed compensator method with an easily verifiable Condition(RC)and the decomposition technique.Furthermore,we demonstrate that the resulting decentralized strategies achieve anϵ-Nash equilibrium in the indefinite case without any assumptions on admissible control sets using novel estimates of the disturbed state and cost function.Finally,our theoretical results are applied to resolve a class of mean-variance portfolio selection problems.We provide corresponding numerical simulation results and economic explanations. 展开更多
关键词 Forward-backward stochastic differential equation Markov chain mean-field game(MFG) ϵ-Nash equilibrium stochastic LQ problem
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Optimal competitive resource assignment in two-stage Colonel Blotto game with Lanchester-type attrition
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作者 YUAN Weilin CHEN Shaofei +4 位作者 HU Zhenzhen JI Xiang LU Lina SU Xiaolong CHEN Jing 《Journal of Systems Engineering and Electronics》 2026年第1期242-256,共15页
In strategic decision-making tasks,determining how to assign limited costly resource towards the defender and the attacker is a central problem.However,it is hard for pre-allocated resource assignment to adapt to dyna... In strategic decision-making tasks,determining how to assign limited costly resource towards the defender and the attacker is a central problem.However,it is hard for pre-allocated resource assignment to adapt to dynamic fighting scenarios,and exists situations where the scenario and rule of the Colonel Blotto(CB)game are too restrictive in real world.To address these issues,a support stage is added as supplementary for pre-allocated results,in which a novel two-stage competitive resource assignment problem is formulated based on CB game and stochastic Lanchester equation(SLE).Further,the force attrition in these two stages is formulated as a stochastic progress to consider the complex fighting progress,including the case that the player with fewer resources defeats the player with more resources and wins the battlefield.For solving this two-stage resource assignment problem,nested solving and no-regret learning are proposed to search the optimal resource assignment strategies.Numerical experiments are taken to analyze the effectiveness of the proposed model and study the assignment strategies in various cases. 展开更多
关键词 resource assignment Colonel Blotto(CB)game stochastic Lanchester equation(SLE) regret match
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Data-Driven Predictive Control for Continuous-Time Nonlinear Systems:A Nonzero-Sum Game Approach
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作者 Juan Liu Hao Zhang +1 位作者 Yifan Xie Frank Allgöwer 《IEEE/CAA Journal of Automatica Sinica》 2026年第2期495-497,共3页
Dear Editor,This letter proposes a reinforcement learning-based predictive learning algorithm for unknown continuous-time nonlinear systems with observation loss.Firstly,we construct a temporal nonzero-sum game over p... Dear Editor,This letter proposes a reinforcement learning-based predictive learning algorithm for unknown continuous-time nonlinear systems with observation loss.Firstly,we construct a temporal nonzero-sum game over predictive control input sequences,deriving multiple optimal predictive control input sequences from its solution. 展开更多
关键词 predictive control nonzero sum game observation loss predictive control input sequencesderiving continuous time nonlinear systems optimal predictive control input sequences reinforcement learning
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Framework for adaptive multimodal serious games for early intervention of autistic children
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作者 Zhiqi XU Yuyong ZHAO +2 位作者 Jie WANG Jian CHANG Yuetian ZHANG 《虚拟现实与智能硬件(中英文)》 2025年第5期523-542,共20页
Background Autism spectrum disorder(ASD)is a pervasive developmental disorder characterized by difficulties in social communication and restricted,repetitive behaviors.Early intervention is essential to improve develo... Background Autism spectrum disorder(ASD)is a pervasive developmental disorder characterized by difficulties in social communication and restricted,repetitive behaviors.Early intervention is essential to improve developmental outcomes in children with ASD.Serious games,which combine educational objectives with game based interactions,have shown potential as tools for early intervention in patients with ASD.However,in China,the development of serious games specifically designed for children with ASD remains in its infancy,with significant gaps in technical frameworks and effective data management methods.Method This paper proposes a framework aimed at facilitating the development of multimodal serious games designed for ASD interventions.We demonstrated the feasibility of the framework by developing and integrating several components,such as web applications,mobile games,and augmented reality games.These tools are interconnected to achieve data connectivity and management.Additionally,adaptive mechanics were employed within the framework to analyze real-time player data,which allowed the game difficulty to be dynamically adjusted and provide a personalized experience for each child.Results The framework successfully integrated various multimodal games,ensuring that real-time data management supported personalized game experiences.This approach ensured that the interventions remained appropriately challenging while still achievable.Conclusion The results indicate that the proposed framework enhances collaboration among therapists,parents,and developers while also improving the effectiveness of ASD interventions.By delivering personalized gameplay experiences that are both challenging and achievable,the framework offers a scalable platform for the future development of serious games. 展开更多
关键词 Autism spectrum disorder(ASD) Serious games Multimodal games Early intervention Technical framework Augmented reality(AR)games Mobile games
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A model predictive Stackelberg solution to orbital pursuit-evasion game 被引量:1
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作者 Yuchen LIU Chaoyong LI +1 位作者 Jun JIANG Yonghe ZHANG 《Chinese Journal of Aeronautics》 2025年第2期244-255,共12页
In this paper,we investigate analytical numerical iterative strategies for the pursuit-evasion game involving spacecraft with leader–follower information.In the proposed problem,the interplay between two spacecraft g... In this paper,we investigate analytical numerical iterative strategies for the pursuit-evasion game involving spacecraft with leader–follower information.In the proposed problem,the interplay between two spacecraft gives rise to a dynamic and real-time game,complicated further by the presence of perturbation.The primary challenge lies in crafting control strategies that are both efficient and applicable to real-time game problems within a nonlinear system.To overcome this challenge,we introduce the model prediction and iterative correction technique proposed in model predictive static programming,enabling the generation of strategies in analytical iterative form for nonlinear systems.Subsequently,we proceed by integrating this model predictive framework into a simplified Stackelberg equilibrium formulation,tailored to address the practical complexities of leader–follower pursuit-evasion scenarios.Simulation results validate the effectiveness and exceptional efficiency of the proposed solution within a receding horizon framework. 展开更多
关键词 Model predictive control Pursuit-evasion problem Leader-follower game Stackelberg game Orbital game
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An Overview of Distributed Nash Equilibrium Seeking in Noncooperative Games for Multi-agent Systems:A Dynamic Control-Based Perspective
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作者 Guanghui WEN Xiao FANG Meng LUAN 《Artificial Intelligence Science and Engineering》 2025年第4期239-254,共16页
This paper presents a comprehensive overview of distributed Nash equilibrium(NE)seeking algorithms in non-cooperative games for multiagent systems(MASs),with a distinct emphasis on the dynamic control perspective.It s... This paper presents a comprehensive overview of distributed Nash equilibrium(NE)seeking algorithms in non-cooperative games for multiagent systems(MASs),with a distinct emphasis on the dynamic control perspective.It specifically focuses on the research addressing distributed NE seeking problems in which agents are governed by heterogeneous dynamics.The paper begins by introducing fundamental concepts of general non-cooperative games and the NE,along with definitions of specific game structures such as aggregative games and multi-cluster games.It then systematically reviews existing studies on distributed NE seeking for various classes of MASs from the viewpoint of agent dynamics,including first-order,second-order,high-order,linear,and Euler-Lagrange(EL)systems.Furthermore,the paper highlights practical applications of these theoretical advances in cooperative control scenarios involving autonomous systems with complex dynamics,such as autonomous surface vessels,autonomous aerial vehicles,and other autonomous vehicles.Finally,the paper outlines several promising directions for future research. 展开更多
关键词 non-cooperative game aggregative game multi-cluster game Nash equilibrium dynamic control autonomous system
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Robust Optimization Control for Cyber-Physical Systems Subject to Jamming Attack:A Nested Game Approach
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作者 Min Shi Yuan Yuan 《IEEE/CAA Journal of Automatica Sinica》 2025年第6期1286-1288,共3页
Dear Editor,With the advances in computing and communication technologies,the cyber-physical system(CPS),has been used in lots of industrial fields,such as the urban water cycle,internet of things,and human-cyber syst... Dear Editor,With the advances in computing and communication technologies,the cyber-physical system(CPS),has been used in lots of industrial fields,such as the urban water cycle,internet of things,and human-cyber systems[1],[2],which has to face up to malicious cyber-attacks towards cyber communication of control commands.Specifically,jamming attack is regarded as one of the most common attacks of decreasing network performance.Game theory is widely regarded as a method of accurately describing the interaction between jamming attacker and legitimate user[3].In the cyber layer,the signal game model has been utilized to describe the transmission between the attacker and defender[4].However,most previous game theoretical researches are not feasible to meet the demands of industrial CPSs mainly due to the shared communication network nature.Specifically,it leads to incomplete information for players of game owing to various network-induced phenomena and employed communication protocols.In the physical layer,the secure control[5]and estimation[6]under attack detection have been studied for CPSs.However,these methods not only rely heavily on signals injection detection,but also have no access to smart attackers who launch covert attacks so that data receivers cannot observe the attack behaviour[7].Accordingly,the motivation arising here is to tackle the nested game problem for CPSs subject to jamming attack. 展开更多
关键词 decreasing network performancegame theory cyber physical systems signal game model robust optimization game theory industrial fields jamming attack urban water cycleinternet
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The Entrepreneurial Perspective:Financing of the Production of Digital Games
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作者 Malte Behrmann 《Management Studies》 2021年第1期1-13,共13页
The article describes funding models in Germany,France,UK and in Poland.The second part of the article concentrates on entrepreneurial implications and the context.At the end of the article of financing path is descri... The article describes funding models in Germany,France,UK and in Poland.The second part of the article concentrates on entrepreneurial implications and the context.At the end of the article of financing path is described including public funding opportunities in Europe from a game developers’perspective. 展开更多
关键词 game development game production Europe Germany France United Kingdom Poland game incubation game development education game production financing financing path entrepreneurial game development indie developer hobby developer
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Two-to-one differential game via improved MOGWO 被引量:2
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作者 BAI Yu ZHOU Di +2 位作者 ZHANG Bolun HE Zhen HE Ping 《Journal of Systems Engineering and Electronics》 2025年第1期233-255,共23页
When the maneuverability of a pursuer is not significantly higher than that of an evader,it will be difficult to intercept the evader with only one pursuer.Therefore,this article adopts a two-to-one differential game ... When the maneuverability of a pursuer is not significantly higher than that of an evader,it will be difficult to intercept the evader with only one pursuer.Therefore,this article adopts a two-to-one differential game strategy,the game of kind is generally considered to be angle-optimized,which allows unlimited turns,but these practices do not take into account the effect of acceleration,which does not correspond to the actual situation,thus,based on the angle-optimized,the acceleration optimization and the acceleration upper bound constraint are added into the game for consideration.A two-to-one differential game problem is proposed in the three-dimensional space,and an improved multi-objective grey wolf optimization(IMOGWO)algorithm is proposed to solve the optimal game point of this problem.With the equations that describe the relative motions between the pursuers and the evader in the three-dimensional space,a multi-objective function with constraints is given as the performance index to design an optimal strategy for the differential game.Then the optimal game point is solved by using the IMOGWO algorithm.It is proved based on Markov chains that with the IMOGWO,the Pareto solution set is the solution of the differential game.Finally,it is verified through simulations that the pursuers can capture the escapee,and via comparative experiments,it is shown that the IMOGWO algorithm performs well in terms of running time and memory usage. 展开更多
关键词 differential game improved multi-objective grey wolf optimization(IMOGWO) cooperative pursuit optimal game point
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Impulsive thrust strategy for orbital pursuit-evasion games based on impulse-like constraint 被引量:1
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作者 Hongbo WANG Yao ZHANG +1 位作者 Hao LIU Kunpeng ZHANG 《Chinese Journal of Aeronautics》 2025年第1期520-536,共17页
This paper proposes a novel impulsive thrust strategy guided by optimal continuous thrust strategy to address two-player orbital pursuit-evasion game under impulsive thrust control.The strategy seeks to enhance the in... This paper proposes a novel impulsive thrust strategy guided by optimal continuous thrust strategy to address two-player orbital pursuit-evasion game under impulsive thrust control.The strategy seeks to enhance the interpretability of impulsive thrust strategy by integrating it within the framework of differential game in traditional continuous systems.First,this paper introduces an impulse-like constraint,with periodical changes in thrust amplitude,to characterize the impulsive thrust control.Then,the game with the impulse-like constraint is converted into the two-point boundary value problem,which is solved by the combined shooting and deep learning method proposed in this paper.Deep learning and numerical optimization are employed to obtain the guesses for unknown terminal adjoint variables and the game terminal time.Subsequently,the accurate values are solved by the shooting method to yield the optimal continuous thrust strategy with the impulse-like constraint.Finally,the shooting method is iteratively employed at each impulse decision moment to derive the impulsive thrust strategy guided by the optimal continuous thrust strategy.Numerical examples demonstrate the convergence of the combined shooting and deep learning method,even if the strongly nonlinear impulse-like constraint is introduced.The effect of the impulsive thrust strategy guided by the optimal continuous thrust strategy is also discussed. 展开更多
关键词 Orbital pursuit-evasion game Differential game Impulsive thrust Deep learning Shooting method
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A Verification Theorem for Feedback Nash Equilibrium in Multiple-Player Nonzero-Sum Impulse Game 被引量:1
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作者 Ruihai Li Yaoyao Tan +1 位作者 Xiaojie Su Jiangshuai Huang 《IEEE/CAA Journal of Automatica Sinica》 2025年第3期648-650,共3页
Dear Editor,This letter addresses the impulse game problem for a general scope of deterministic,multi-player,nonzero-sum differential games wherein all participants adopt impulse controls.Our objective is to formulate... Dear Editor,This letter addresses the impulse game problem for a general scope of deterministic,multi-player,nonzero-sum differential games wherein all participants adopt impulse controls.Our objective is to formulate this impulse game problem with the modified objective function including interaction costs among the players in a discontinuous fashion,and subsequently,to derive a verification theorem for identifying the feedback Nash equilibrium strategy. 展开更多
关键词 impulse game feedback Nash equilibrium multiple player feedback nash equilibrium strategy impulse game problem nonzero sum modified objective function impulse controlsour
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